Mathematics, 16.10.2019 05:00 yofavkay
On the interval 0 ≤ x ≤ 1 of length one, consider the eigenvalue problem −x = λx x(0) + x(0) = 0 and x(1) = 0 (absorption at one end and zero at the other). (a) find an eigenfunction with eigenvalue zero. call it x0(x). (b) find an equation for the positive eigenvalues λ = β2. (c) show graphically from part (b) that there are an infinite number of positive eigenvalues. (d) is there a negative eigenvalue?
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On the interval 0 ≤ x ≤ 1 of length one, consider the eigenvalue problem −x = λx x(0) + x(0) = 0 and...
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